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Finding the Fourth Proportional to 10,341.67, 14,272.97 and 5,866.53

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Solution

The fourth proportional to 10,341.67, 14,272.97 and 5,866.53 is: 8,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.67 : 14,272.97 = 5,866.53 : x
  2. Step 2: Convert to fraction form
    10,341.67/14,272.97 = 5,866.53/x
  3. Step 3: Cross multiply
    10,341.67x = 14,272.97 × 5,866.53
  4. Step 4: Simplify right side
    10,341.67x = 83,732,806.69
  5. Step 5: Solve for x
    x = 83,732,806.69/10,341.67
  6. Step 6: Final answer
    x = 8,096.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.